I recently got a hp notebook and would LIKE to arrange some sort of thing that would allow me to use internet on both of them without paying for another connection. How is it done?We can't guess your operating system or anything else about your computer so have a read:

http://www.google.com/search?hl=en&sa=X&oi=spell&resnum=0&ct=result&cd=1&q=internet+connection+sharing&spell=1

<-----------A device called a router works well for this purpose. If you want a wireless connection for you notebook, you need to get a wireless router. Most "wireless" routers are actually wired & wireless in the same unit. So, you can CONNECT computers to them via a wire or by wireless connection if you have a wireless adapter connected to the computer for which you want wireless Internet connection.

Routers, like most things, come in various models with different FEATURES, and are made by multiple manufacturers. I have a router made by D-Link; the model is DI-524. We currently have 3 computers connected to it by cable, specifically a type of cable called Category 5, or CAT5; and, a laptop is wirelessly connected to it. By having this router, all computers share one Internet line, a DSL service. The main incoming phone line connects to a DSL modem, which is connected to the router. The computers, then, get their Internet connection from the router, not directly from the modem.

To use a wireless connection with your notebook computer, you'll need a wireless adapter installed in or connected to it. This adapter is a device to receive the wireless signal from the router.

Your wireless adapter could be the type that inserts into a slot on your notebook, such as this one: D-Link AirPlus G DWL-G630 Cardbus Adapter. Or, it could be one that connects to a USB port, such as the DWL-G122 Wireless USB Adapter.

I bought this D-Link AirPlus G Wireless Network Starter Kit, Model: DWL-922, from Best Buy when a $40 rebate was in effect on it. This package includes the DI-524 modem and the DWL-G122 Wireless USB Adapter.

>This FAQ< may be of help.Sorry for not googling it before, I know I should have done that before WRITING but.. :p

And thanks for elaborate answer soybean.